MBA Exam

There are 7 pairs of black shoes and 5 pairs of white shoes. They are all put into a box and shoes are drawn one at a time.To ensure at least one pair of black shoes taken out,what is the number of shoes required to be drawn out?

1) 12
2) 13
3) 7
4) 18

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MBA Other Question
The figure given below shows a triangle ABC that circumscribes a circle of radius 3 cm. D is the point of contact of the circle with the side AB. AD = 4 cm and BD = 6 cm. What is the ratio of AC to **?Please post the approach

1) 5/6
2) 6/5
3) 7/6
4) 6/7
5) Data insufficient
 1,3,3,3,5,5,5,5,5,7,7,7,7,7,7,7 and so on-What is the 111th term of the series .Please post approach also..

1) 19
2) 21
3) 111
4) None